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Advances in Fuzzy Systems
Volume 2016, Article ID 3839265, 4 pages
Research Article

Fuzzy Logic versus Classical Logic: An Example in Multiplicative Ideal Theory

Department of Mathematical Sciences, Saginaw Valley State University, 7400 Bay Road, University Center, MI 48710-0001, USA

Received 6 October 2016; Accepted 24 November 2016

Academic Editor: Erich Peter Klement

Copyright © 2016 Olivier A. Heubo-Kwegna. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


We discuss a fuzzy result by displaying an example that shows how a classical argument fails to work when one passes from classical logic to fuzzy logic. Precisely, we present an example to show that, in the fuzzy context, the fact that the supremum is naturally used in lieu of the union can alter an argument that may work in the classical context.